Supplemental Mathematical Operators

Last updated
Supplemental Mathematical Operators
RangeU+2A00..U+2AFF
(256 code points)
Plane BMP
Scripts Common
Assigned256 code points
Unused0 reserved code points
Unicode version history
3.2 (2002)256 (+256)
Chart
Code chart
Note: [1] [2]

Supplemental Mathematical Operators is a Unicode block containing various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators, and subset/superset relations.

Contents

Block

Supplemental Mathematical Operators [1]
Official Unicode Consortium code chart (PDF)
 0123456789ABCDEF
U+2A0x
U+2A1x
U+2A2x
U+2A3x ⨿
U+2A4x
U+2A5x
U+2A6x
U+2A7x ⩿
U+2A8x
U+2A9x
U+2AAx
U+2ABx⪿
U+2ACx
U+2ADx
U+2AEx
U+2AFx⫿
Notes
1. ^ As of Unicode version 14.0

Variation sequences

The Supplemental Mathematical Operators block has eight variation sequences defined for standardized variants. [3] [4] They use U+FE00 VARIATION SELECTOR-1 (VS01) to denote variant symbols (depending on the font):

Variation sequences
Base characterBase+VS01Description
U+2A3C INTERIOR PRODUCTtall variant with narrow foot
U+2A3D RIGHTHAND INTERIOR PRODUCTtall variant with narrow foot
U+2A9D SIMILAR OR LESS-THANwith similar following the slant of the upper leg
U+2A9E SIMILAR OR GREATER-THANwith similar following the slant of the upper leg
U+2AAC SMALLER THAN OR EQUAL TOwith slanted equal
U+2AAD LARGER THAN OR EQUAL TOwith slanted equal
U+2ACB SUBSET OF ABOVE NOT EQUAL TOwith stroke through bottom members
U+2ACC SUPERSET OF ABOVE NOT EQUAL TOwith stroke through bottom members

History

The following Unicode-related documents record the purpose and process of defining specific characters in the Supplemental Mathematical Operators block:

Version Final code points [lower-alpha 1] Count L2  ID WG2  IDDocument
3.2U+2A00..2A6D, 2A6F..2AF6246 L2/00-119 [lower-alpha 2] N2191R Whistler, Ken; Freytag, Asmus (2000-04-19), Encoding Additional Mathematical Symbols in Unicode
L2/00-234 N2203 (rtf, txt)Umamaheswaran, V. S. (2000-07-21), "8.18", Minutes from the SC2/WG2 meeting in Beijing, 2000-03-21 -- 24
L2/00-115R2 Moore, Lisa (2000-08-08), "Motion 83-M11", Minutes Of UTC Meeting #83
L2/01-012R Moore, Lisa (2001-05-21), "Motion 86-M19", Minutes UTC #86 in Mountain View, Jan 2001
L2/01-342 Suignard, Michel (2001-09-10), "T.9 B.1 List of combining characters/Variation selectors", Comments accompanying the US positive vote on the FPDAM 1 to ISO/IEC 10646-1:2001
U+2A6E, 2AF7..2AFF10 L2/01-142 [lower-alpha 2] N2336 Beeton, Barbara; Freytag, Asmus; Ion, Patrick (2001-04-02), Additional Mathematical Symbols
L2/01-156 N2356 Freytag, Asmus (2001-04-03), Additional Mathematical Characters (Draft 10)
L2/01-344 N2353 (pdf, doc)Umamaheswaran, V. S. (2001-09-09), "7.7 Mathematical Symbols", Minutes from SC2/WG2 meeting #40 -- Mountain View, April 2001
  1. Proposed code points and characters names may differ from final code points and names
  2. 1 2 Refer to the history section of the Miscellaneous Mathematical Symbols-B block for additional math-related documents

See also

Related Research Articles

Geometric Shapes is a Unicode block of 96 symbols at code point range U+25A0–25FF.

Letterlike Symbols is a Unicode block containing 80 characters which are constructed mainly from the glyphs of one or more letters. In addition to this block, Unicode includes full styled mathematical alphabets, although Unicode does not explicitly categorise these characters as being "letterlike".

Miscellaneous Technical is a Unicode block ranging from U+2300 to U+23FF, which contains various common symbols which are related to and used in the various technical, programming language, and academic professions. For example:

Supplemental Arrows-B is a Unicode block containing miscellaneous arrows, arrow tails, crossing arrows used in knot descriptions, curved arrows, and harpoons.

Miscellaneous Symbols and Arrows is a Unicode block containing arrows and geometric shapes with various fills, astrological symbols, technical symbols, intonation marks, and others.

Mathematical Operators is a Unicode block containing characters for mathematical, logical, and set notation.

The Basic Latin or C0 Controls and Basic Latin Unicode block is the first block of the Unicode standard, and the only block which is encoded in one byte in UTF-8. The block contains all the letters and control codes of the ASCII encoding. It ranges from U+0000 to U+007F, contains 128 characters and includes the C0 controls, ASCII punctuation and symbols, ASCII digits, both the uppercase and lowercase of the English alphabet and a control character.

The Latin-1 Supplement is the second Unicode block in the Unicode standard. It encodes the upper range of ISO 8859-1: 80 (U+0080) - FF (U+00FF). Controls C1 (0080–009F) are not graphic. This block ranges from U+0080 to U+00FF, contains 128 characters and includes the C1 controls, Latin-1 punctuation and symbols, 30 pairs of majuscule and minuscule accented Latin characters and 2 mathematical operators.

CJK Symbols and Punctuation is a Unicode block containing symbols and punctuation used for writing the Chinese, Japanese and Korean languages. It also contains one Chinese character.

Myanmar is a Unicode block containing characters for the Burmese, Mon, Shan, Palaung, and the Karen languages of Myanmar, as well as the Aiton and Phake languages of Northeast India. It is also used to write Pali and Sanskrit in Myanmar.

Mongolian is a Unicode block containing characters for dialects of Mongolian, Manchu, and Sibe languages. It is traditionally written in vertical lines Top-Down, right across the page, although the Unicode code charts cite the characters rotated to horizontal orientation as this is the orientation of glyphs in a font that supports layout in vertical orientation.

Myanmar Extended-A is a Unicode block containing Myanmar characters for writing the Khamti Shan and Aiton languages.

A variant form is a different glyph for a character, encoded in Unicode through the mechanism of variation sequences: sequences in Unicode that consist of a base character followed by a variation selector character.

Variation Selectors Supplement is a Unicode block containing additional Variation Selectors beyond those found in the Variation Selectors block.

Phags-pa is a Unicode block containing characters from the 'Phags-pa script promulgated as a national script by Kublai Khan, the founder of the Yuan dynasty. It was used primarily in writing Mongolian and Chinese, although it was intended for the use of all written languages of the Mongol Empire.

General Punctuation is a Unicode block containing punctuation, spacing, and formatting characters for use with all scripts and writing systems. Included are the defined-width spaces, joining formats, directional formats, smart quotes, archaic and novel punctuation such as the interrobang, and invisible mathematical operators.

Arrows is a Unicode block containing line, curve, and semicircle symbols terminating in barbs or arrows.

Halfwidth and Fullwidth Forms is the name of a Unicode block U+FF00–FFEF, provided so that older encodings containing both halfwidth and fullwidth characters can have lossless translation to/from Unicode. It is the second-to-last block of the Basic Multilingual Plane, followed only by the short Specials block at U+FFF0–FFFF. Its block name in Unicode 1.0 was Halfwidth and Fullwidth Variants.

Variation Selectors is the block name of a Unicode code point block containing 16 variation selectors. Each variation selector is used to specify a specific glyph variant for a preceding character. They are currently used to specify standardized variation sequences for mathematical symbols, emoji symbols, 'Phags-pa letters, and CJK unified ideographs corresponding to CJK compatibility ideographs. At present only standardized variation sequences with VS1, VS2, VS3, VS15 and VS16 have been defined; VS15 and VS16 are reserved to request that a character should be displayed as text or as an emoji respectively.

Manichaean is a Unicode block containing characters historically used for writing Sogdian, Parthian, and the dialects of Fars.

References

  1. "Unicode character database". The Unicode Standard. Retrieved 2016-07-09.
  2. "Enumerated Versions of The Unicode Standard". The Unicode Standard. Retrieved 2016-07-09.
  3. "Unicode Character Database: Standardized Variation Sequences". The Unicode Consortium.
  4. Whistler, Ken; Freytag, Asmus (2000-04-19), "Symbol variants defined using a Variation Selector", L2/00-119: Encoding Additional Mathematical Symbols in Unicode (PDF)